On asymptotically absolute convergence
نویسندگان
چکیده
منابع مشابه
On Asymptotically Wijsman Lacunary Σ-statistical Convergence of Set Sequences
In this paper we presents three definitions which is a natural combination of the definition of asymptotic equivalence, statistical convergence, lacunary statistical convergence, σ-statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.
متن کاملAbsolute Convergence in Ordered Fields
We explore the distinction between convergence and absolute convergence of series in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
متن کاملConvergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
Throughout this paper, we always assume thatH is a real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉 and ‖ · ‖. The symbols → and ⇀ are denoted by strong convergence and weak convergence, respectively. ωw xn {x : ∃xni ⇀ x} denotes the weak w-limit set of {xn}. Let C be a nonempty closed and convex subset of H and T : C → C a mapping. In this paper, we denote the fixed point...
متن کاملSpectral Geometry and Asymptotically Conic Convergence
In this paper we define asymptotically conic convergence in which a family of smooth Riemannian metrics degenerates to have an isolated conic singularity. This convergence is related to, and generalizes, the analytic surgery metric degeneration of [15]. For a conic metric (M0, g0) and a scattering metric (Z, gz) we define a nonstandard blowup, the resolution blowup, in which the conic singulari...
متن کاملConvergence theorems for nonself asymptotically nonexpansive mappings
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that our theorems can be generalized to the case of finitely many mappings. c © 2007 Elsevier Ltd. Al...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1951
ISSN: 0040-8735
DOI: 10.2748/tmj/1178245522